Details

analyze280.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	24
1	372	24
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample29.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	6×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	207	12
1	207	12

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 x))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_2146`
6×	`associate-r_binary64_2064`
4×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `sqrt-prod_binary64_2140`
3×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065`
2×	`unswap-sqr_binary64_2092`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

1 → 22

Calls

1 calls:

10.0ms

(*.f64 y (sqrt.f64 x))

Compiler

Compiled 294 to 130 computations (55.8% saved)

series77.0ms (2%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

72.0ms

(*.f64 y (sqrt.f64 x))

Compiler

Compiled 167 to 128 computations (23.4% saved)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4980	229
1	4980	229

prune36.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

0.0b

Counts

29 → 5

Compiler

Compiled 369 to 174 computations (52.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite109.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_2140`
25×	`add-sqr-sqrt_binary64_2146`
18×	`associate-r_binary64_2064`
15×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`sqrt-pow1_binary64_2142`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `pow1/2_binary64_2204` `rem-sqrt-square_binary64_2137`
3×	`unswap-sqr_binary64_2092`
2×	`*-commutative_binary64_2055`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
2.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 1648 to 526 computations (68.1% saved)

series328.0ms (8.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

170.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
56.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
47.0ms	(sqrt.f64 (sqrt.f64 x))
46.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 659 to 496 computations (24.7% saved)

simplify100.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5186	879

prune95.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Error

Counts

111 → 8

Compiler

Compiled 1699 to 643 computations (62.2% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 x)))))
0.3b	(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
0.6b	(cbrt.f64 (sqrt.f64 x))
0.6b	(cbrt.f64 (sqrt.f64 x))

rewrite130.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`sqrt-prod_binary64_2140`
21×	`add-sqr-sqrt_binary64_2146`
20×	`cbrt-prod_binary64_2155`
18×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
13×	`add-cube-cbrt_binary64_2159` `-un-lft-identity_binary64_2124` `associate-r*_binary64_2064`
9×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `associate-l_binary64_2065`
2×	`pow1/3_binary64_2206` `*-commutative_binary64_2055`

Counts

4 → 80

Calls

4 calls:

12.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 x)))))
8.0ms	(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
2.0ms	(cbrt.f64 (sqrt.f64 x))
2.0ms	(cbrt.f64 (sqrt.f64 x))

Compiler

Compiled 2172 to 538 computations (75.2% saved)

series411.0ms (10.8%)

Error

Counts

4 → 15

Calls

4 calls:

204.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 x)))))
87.0ms	(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
55.0ms	(cbrt.f64 (sqrt.f64 x))
48.0ms	(cbrt.f64 (sqrt.f64 x))

Compiler

Compiled 826 to 622 computations (24.7% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5209	1598

prune89.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	95	8	103

Error

Counts

103 → 8

Compiler

Compiled 2234 to 638 computations (71.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 x) y)
0.3b	(.f64 (sqrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 x) y))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite84.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_2146`
15×	`associate-l_binary64_2065`
13×	`cbrt-prod_binary64_2155`
12×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
9×	`add-cbrt-cube_binary64_2160`
6×	`sqrt-prod_binary64_2140`
4×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-r_binary64_2064`
2×	`pow1/3_binary64_2206` `*-commutative_binary64_2055` `unswap-sqr_binary64_2092`

Counts

4 → 68

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 x) y))
5.0ms	(*.f64 (cbrt.f64 x) y)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

Compiler

Compiled 1177 to 420 computations (64.3% saved)

series403.0ms (10.6%)

Error

Counts

4 → 18

Calls

4 calls:

174.0ms	(*.f64 (cbrt.f64 x) y)
79.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
60.0ms	(.f64 (sqrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 x) y))

Compiler

Compiled 700 to 545 computations (22.1% saved)

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4929	751
1	4929	751

prune87.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	86	8	94

Error

Counts

94 → 8

Compiler

Compiled 1287 to 540 computations (58% saved)

regimes137.0ms (3.6%)

Accuracy

Total 0.1b remaining (92.3%)

Threshold costs 0.1b (92.3%)

Compiler

Compiled 1214 to 814 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample1.1s (28.6%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
5.0ms	142×	body	128	nan
3.0ms	80×	body	128	invalid

Compiler

Compiled 415 to 281 computations (32.3% saved)

Details

analyze280.0ms (7.4%)

sample29.0ms (0.8%)

simplify25.0ms (0.7%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

rewrite49.0ms (1.3%)

series77.0ms (2%)

simplify56.0ms (1.5%)

prune36.0ms (0.9%)

localize12.0ms (0.3%)

rewrite109.0ms (2.9%)

series328.0ms (8.6%)

simplify100.0ms (2.6%)

prune95.0ms (2.5%)

localize19.0ms (0.5%)

rewrite130.0ms (3.4%)

series411.0ms (10.8%)

simplify80.0ms (2.1%)

prune89.0ms (2.3%)

localize12.0ms (0.3%)

rewrite84.0ms (2.2%)

series403.0ms (10.6%)

simplify49.0ms (1.3%)

prune87.0ms (2.3%)

regimes137.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.6%)

Profiling